Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 307402, 307406 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307402 and 307406 is 2.
GCF(307402,307406) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307402
2 | 307402 |
153701 | 153701 |
1 |
Prime factors of 307402 are 2,153701. Prime factorization of 307402 in exponential form is:
307402 = 21×1537011
Prime Factorization of 307406
2 | 307406 |
11 | 153703 |
89 | 13973 |
157 | 157 |
1 |
Prime factors of 307406 are 2,11,89,157. Prime factorization of 307406 in exponential form is:
307406 = 21×111×891×1571
∴ So by taking common prime factors GCF of 307402 and 307406 is 2
Factors of 307402
List of positive integer factors of 307402 that divides 307402 without a remainder.
1,2,153701,307402
Factors of 307406
List of positive integer factors of 307406 that divides 307406 without a remainder.
1,2,11,22,89,157,178,314,979,1727,1958,3454,13973,27946,153703,307406
Greatest Common Factor
We found the factors and prime factorization of 307402 and 307406. The biggest common factor number is the GCF number.
So the greatest common factor 307402 and 307406 is 2.
Also check out the Least Common Multiple of 307402 and 307406
(i) The GCF of 307402 and 307406 is associative
GCF of 307402 and 307406 = GCF of 307406 and 307402
1. What is the GCF of 307402 and 307406?
Answer: GCF of 307402 and 307406 is 2.
2. What are the Factors of 307402?
Answer: Factors of 307402 are 1, 2, 153701, 307402. There are 4 integers that are factors of 307402. The greatest factor of 307402 is 307402.
3. What are the Factors of 307406?
Answer: Factors of 307406 are 1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406. There are 16 integers that are factors of 307406. The greatest factor of 307406 is 307406.
4. How to Find the GCF of 307402 and 307406?
Answer:
Greatest Common Factor of 307402 and 307406 = 2
Step 1: Find the prime factorization of 307402
307402 = 2 x 153701
Step 2: Find the prime factorization of 307406
307406 = 2 x 11 x 89 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 307402 and 307406 is 2